Jacquet modules of 𝑝-adic general linear groups

DOI10.1090/S1088-4165-07-00316-0zbMath1139.22014MaRDI QIDQ5445075

Chris Jantzen

Publication date: 28 February 2008

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

general linear groupsJacquet modules

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (17)

Differential equations and Lie group representations ⋮ Duality for classical 𝑝-adic groups: The half-integral case ⋮ Construction of local \(A\)-packets ⋮ Conjectures and results about parabolic induction of representations of \(\mathrm{GL}_n(F)\) ⋮ Strongly positive representations of metaplectic groups ⋮ Tempered representations for classical \(p\)-adic groups ⋮ Reducibility of representations induced from the Zelevinsky segment and discrete series ⋮ Jacquet modules and irreducibility of induced representations for classical \(p\)-adic groups ⋮ Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field ⋮ Representations induced from the Zelevinsky segment and discrete series in the half-integral case ⋮ Jacquet modules of ladder representations ⋮ On parabolic induction on inner forms of the general linear group over a non-archimedean local field ⋮ Strongly positive representations of \(\mathrm{GSpin}_{2n+1}\) and the Jacquet module method (with an appendix ``Strongly positive representations in an exceptional rank-one reducibility case by Ivan Matić) ⋮ Jacquet modules of strongly positive representations of the metaplectic group $\widetilde {Sp(n)}$ ⋮ A local model for the trianguline variety and applications ⋮ On an algorithm to compute derivatives ⋮ Grassmanniennes affines tordues sur les entiers

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